{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c982abca",
   "metadata": {},
   "source": [
    "# Interpretation 2: Advanced MultKAN"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b9ec6c4",
   "metadata": {},
   "source": [
    "In the last tutorial, we introduced multiplications to KANs which makes interpretation easier in the case when multiplications are needed. Multiplication nodes by default takes in two numbers, but can take more variables specified by the user. This is done through the mult_arity argument (by default mult_arity=2)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8f94f0f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 30 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import *\n",
    "model = KAN(width=[2,[3,2],1])\n",
    "x = torch.randn(100,2)\n",
    "model(x)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20be6142",
   "metadata": {},
   "source": [
    "mult_arity=3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5fbe4670",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 36 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,[3,2],1], mult_arity=3)\n",
    "model(x)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f76b85cc",
   "metadata": {},
   "source": [
    "mult_arity=4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3f9fa6c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 42 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,[3,2],1], mult_arity=4)\n",
    "model(x)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae15bae4",
   "metadata": {},
   "source": [
    "You may want different multiplication nodes to take in different number of variables. This is also possible: pass in mult_arity as a list of lists, specifying the arities in each layer, including input layer, hidden layer(s), and output layer."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f81c620",
   "metadata": {},
   "source": [
    "In the following example, we have 0 multiplications in the input or in the output layer, corresponding to empty lists. In the hidden layer, we have two multiplications with arity = 2 and arity = 3, so we have the list [2,3] in the middle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1cbc4656",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 33 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,[3,2],1], mult_arity=[[],[2,3],[]])\n",
    "model(x)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8992507",
   "metadata": {},
   "source": [
    "Make a deeper network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "5da9e2b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x800 with 115 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,[2,2],[1,3],[3,2],[1,1]], mult_arity=2)\n",
    "model(x)\n",
    "model.plot()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
